SOLUTION: Please help me and show all work. I am having a problem on how I would graph this. Graph: {y>4x&#8722;2 y<&#8722;x+2)

Algebra ->  College  -> Linear Algebra -> SOLUTION: Please help me and show all work. I am having a problem on how I would graph this. Graph: {y>4x&#8722;2 y<&#8722;x+2)       Log On


   



Question 1025675: Please help me and show all work.
I am having a problem on how I would graph this.
Graph: {y>4x−2
y<−x+2)

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Please help me and show all work.
I am having a problem on how I would graph this.
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You never directly graph an inequality.
You graph its boundary which is always an equality.
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Graph:
{y>4x−2
Graph the boundary y = 4x-2 as a dashed line because equality
is not asked for above.
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Then shade the half-plane ABOVE the boundary line
because you want y to be GREATER than 4x-2
graph%28400%2C400%2C-10%2C10%2C-10%2C10%2Cy+%3E+4x-2%29
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y<−x+2
Graph the boundary y = -x+2 as a dashed line.
Shade the half-plane ABOVE the boundary
because you want y to be LESS than -x+2.
graph%28400%2C400%2C-10%2C10%2C-10%2C10%2Cy+%3C+-x%2B2%29
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Cheers,
Stan H.
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